Express in simplest radical form
square root 720/ square root 9
To express the expression in simplest radical form, we can simplify the numerator and denominator separately.
Starting with the numerator, we have the square root of 720. To simplify this, we can find the largest perfect square that divides evenly into 720. The largest perfect square that divides into 720 is 36 (which is the square of 6). We can write 720 as 36 times 20.
Therefore, the square root of 720 is equal to the square root of 36 times the square root of 20.
The square root of 36 is 6, and the square root of 20 cannot be simplified further.
Moving on to the denominator, we have the square root of 9, which is equal to 3.
Putting it all together, the expression becomes:
(6√20) / 3
This can be further simplified by dividing each term by 3:
2√20
So, the expression, in simplest radical form, is 2√20.